Fractions

Lesson

Adding fractions with easily related denominators requires us to know the equivalent fractions for our benchmarks.

In this applet, the red and blue fractions are related. It will allow you to see visually the size of the fractions and what the common denominator is.

You should be able to easily recognise some equivalent fractions and then calculate the addition or subtraction necessary.

**Question**: Add $3$3 *tenths *and $1$1 *fifth*.

**Think**: From my fraction calculator I know that $1$1 *fifth *is the same as $2$2 *tenths*.

**Do**: So this question is really asking me to add $3$3 *tenths *and $2$2 *tenths *which is $5$5 *tenths*.

I could leave this fraction as $5$5 *tenths*, however I also know that $5$5 *tenths *is the same as $1$1 *half*.

**Question**: Evaluate $\frac{7}{3}-\frac{7}{6}$73−76

**Think**: I know that $\frac{1}{3}$13 is the same as $\frac{2}{6}$26.

**Do**: So this question is really asking me to do $\frac{14}{6}-\frac{7}{6}$146−76 which is $\frac{7}{6}$76.

I could leave this fraction as $\frac{7}{6}$76 or change to $1\frac{1}{6}$116.

Evaluate $\frac{1}{3}+\frac{1}{6}$13+16.

Evaluate $\frac{3}{8}-\frac{1}{4}$38−14.

Using fractions, evaluate "two sevenths plus five sevenths".

Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages.